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Gelfand-Kirillov dimension of certain localizations

✍ Scribed by A. Leroy; I. Matczuk


Book ID
112517066
Publisher
Springer
Year
1989
Tongue
English
Weight
407 KB
Volume
53
Category
Article
ISSN
0003-889X

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Gelfand-Kirillov Dimension of Noetherian
✍ J. Okninski πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 664 KB

It is shown that for certain classes of semigroup algebras \(K[S]\), including right noetherian algebras, the Gelfand-Kirillov dimension is finite whenever it is finite on all cancellative subsemigroups of \(S\). Moreover, the dimension of the algebra modulo the prime radical is then an integer. A d